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Expanded Notation to Standard Form, Mixed Order

Written by Adi Ackerman, Head Teacher

"Expanded Notation to Standard Form, Mixed Order" is written for 4th Grade (Ages 9-10), and it covers Common Core 4.NBT.A.2. If your little one is a year younger but already steady on place value & rounding, the page still works. You may just need to read the instructions out loud. And if they are older and expanded to standard form never quite stuck, this is a short review rather than busywork.

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Expanded Notation to Standard Form, Mixed Order
Expanded Notation to Standard Form, Mixed Order

4th grade math worksheet: add 10 sets of expanded notation parts given out of order and write each number, with 0 in missing places. Answer key included. Part of our expanded to standard form place value & rounding collection. Aligned to Common Core standards.

How do I use this worksheet?

Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, since students at this age benefit more from productive struggle than from being walked through each step, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These expanded to standard form worksheets work well as daily practice, homework, or a focused review activity.

What students will practice

  • Students will find the value of each part of 10 expanded notation sums.
  • Students will add parts given out of order by place value.
  • Students will write six digit numbers like 116,099, with 0 in the places left out.


Curriculum Links

Common Core State Standards

Number and Operations in Base Ten · 4th Grade

4.NBT.A.2

Standard: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

View all 4.NBT.A.2 worksheets →

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FAQ

How do I use this expanded to standard form worksheet?

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Before handing out the worksheet, briefly introduce the concept with a short oral warm-up or a visual model on the board. Let students work through it independently, since students at this age benefit more from productive struggle than from being walked through each step, encouraging them to talk through their thinking: "What strategy are you using? How do you know that is right?" After completing the worksheet, review any missed problems together and discuss the reasoning rather than just the answer. For extra support, let students use manipulatives or draw pictures alongside the written problems. These expanded to standard form worksheets work well as daily practice, homework, or a focused review activity.

What does this worksheet teach?

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Add 10 sets of expanded notation parts given out of order and write each number, with 0 in missing places. Expanded notation shows each digit times its place value. The parts can be in any order, and a place that is not shown has the digit 0. The directions on the page read: Find the value of each part. Then, add the parts by place value and write the whole number in the box. An answer key is included.

Can I use this expanded to standard form worksheet for homeschool or classroom?

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Yes, both. We made it for 4th Grade place value & rounding, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with expanded to standard form. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

How do you put parts given out of order back together?

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Find the value of each part and line them up by place. (9 x 10) + (6 x 1,000) + (9 x 1) + (1 x 100,000) + (1 x 10,000) is 100,000 + 10,000 + 6,000 + 90 + 9 = 116,099.

What if a place is missing?

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A place that is not shown has the digit 0. (1 x 10,000) + (2 x 10) + (3 x 1,000) + (9 x 1) + (4 x 100,000) has no hundreds part, so the number is 413,029.

Is there an answer key?

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Yes. Both sheets have an answer key.

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Worksheet Details

Grade4th Grade
SubjectMath
TopicPlace Value & Rounding
Standard4.NBT.A.2
Pages1 page
DifficultyMedium

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